School of Mathematics 686 Cherry St. Georgia Institute of Technology Atlanta, Georgia, USA 30332
I am a sixth year PhD student at Georgia Tech. I am interested in algebraic combinatorics and combinatorial algebraic geometry. Right now I am studying how to factor polynomials over hyperfields with an aim of developing a theory of intersection multiplicities. Previous to that, I studied divisor theory on abstract tropical curves with application to faithful tropicalization.
My advisor is Matt Baker.
I received my BMath from the University of Waterloo with majors in Pure Mathematics and Combinatorics & Optimization.
Together with Wade Bloomquist and Evelyne Smith-Roberge, we are reshaping the old High School Math Competition to appeal to a broader audience. The new event will feature:
Registration and info at https://hsmd.math.gatech.edu/. Also see our promotional flier.
I organize the Algebra Student Seminar at Georgia Tech together with Kevin Shu. Previously with Cvetelina Hill, Marc Härkönen and Jaewoo Jung The seminar is intended for graduate students to talk about their research or present on topics they are interested in learning about.
I organize the Graduate Student Colloquium together with Abhishek Dhawan and Roberta Shapiro.
Currently the colloquia meet before other School of Math social events such as board game nights.
The colloquium is looking for speakers! Please reach out to one of us if you are interested in giving a talk.
I have some notes on some various topics in combinatorics and tropical geometry. This project is on pause while I complete my thesis.
Some resources for a learning seminar I helped organize in 2019 on Lorentzian Polynomials
For a quick explanation of tropical geometry, Madeline Brandt has an 8 minute video explanation on YouTube. For a longer, but still quite approachable, introduction to tropical geometry, I recommend this survey article by Ralph Morrison. For higher level general treatments of the subject, here are some books:
For learning about hyperfields and multiplicities for polynomials over hyperfields, the original article Descartes' rule of signs, Newton polygons, and polynomials over hyperfields by my advisor, Matt Baker, and Oliver Lorscheid should be accessible to anyone with some familiarity with abstract algebra and mathematical maturity.
Oliver Lorscheid naturally has several papers describing ordered blueprints. For a starting point, I recommend looking at his lecture notes. I strongly suggest having good familiarity with commutative algebra and some category theory for these.